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Finding the Fourth Proportional to 3,893.64, 5,373.44 and 2,125.20

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Solution

The fourth proportional to 3,893.64, 5,373.44 and 2,125.20 is: 2,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.64 : 5,373.44 = 2,125.20 : x
  2. Step 2: Convert to fraction form
    3,893.64/5,373.44 = 2,125.20/x
  3. Step 3: Cross multiply
    3,893.64x = 5,373.44 × 2,125.20
  4. Step 4: Simplify right side
    3,893.64x = 11,419,634.69
  5. Step 5: Solve for x
    x = 11,419,634.69/3,893.64
  6. Step 6: Final answer
    x = 2,932.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.